Small-x divergences of Abelian gauge theory in the front form of Hamiltonian dynamics are regulated using a mass parameter for gauge bosons, introduced through a mechanism analogous to the spontaneous breaking of global gauge symmetry. A corresponding family of ultraviolet and infrared finite scale-dependent renormalized Hamiltonians, is calculable order-by-order using the renormalization group procedure for effective particles. The second-order terms described here suggest the magnitude of mass corrections that may be involved in resolving the small-x parton and front-form vacuum and zero-mode problems, assuming that the gauge boson mass that counts does not exceed the current upper bound on the photon mass.
It is shown how gauge bosons can be supplied a mass term using the Higgs mechanism for the purpose of regulating Hamiltonians of Abelian gauge theories in the front form of quantum dynamics.
本文提出渐近非自由规范理论可以一致地解释为复合规范玻色子理论。指出当引入隐局域对称性时，保证了动态生成规范玻色子的无质量性和耦合普适性。为了说明这些想法，我们采取了四维格拉斯曼西格玛模型作为一个例子，并表明该模型应被视为一个截止理论，有一个关键的耦合，隐藏的局部对称性恢复。明确地计算了规范场的振子和顶点函数，并证明了无质量极点的存在。由动力学产生的规范玻色子的$ Z $因子确定的β函数与渐近非自由初等规范理论的β函数一致。利用这些理论机器，我们构建了一个模型，其中渐近自由和非自由规范玻色子共存，它们的运行耦合关系的比例关系。
The propagator of a gauge boson, like the massless photon or the massive vector bosons $W^\pm$ and $Z$ of the electroweak theory, can be derived in two different ways, namely via Green's functions (semi-classical approach) or via the vacuum expectation value of the time-ordered product of the field operators (field theoretical approach). Comparing the semi-classical with the field theoretical approach, the central tensorial object can be defined as the gauge boson projector, directly related to the completeness relation for the complete set of polarisation four-vectors. In this paper we explai…
We discuss the specificity of the interactions of the electroweak gauge boson excitations in models with warped extra dimensions. In particular, we show that the couplings of the gauge boson excitations $W^{\prime}$, $Z^{\prime}$, and $γ^\prime$ to the SM gauge bosons treated as the zero modes of the 5D gauge fields are either exactly equal to zero or very much suppressed. In the former case, the three-particle and four-particle interaction Lagrangians of the SM gauge bosons and their lowest excitations are found explicitly. Meanwhile, the couplings of $W^{\prime}$, $Z^{\prime}$, and $γ^\prime…
We investigate the Englert-Brout-Higgs-Guralnik-Hagen-Kibble mechanism for non-Hermitian field theories with local non-Abelian gauge symmetry in different regions of their parameter spaces. We demonstrate that the two aspects of the mechanism, that is giving mass to gauge vector bosons and at the same time preventing the existence of massless Goldstone bosons, remain to be synchronized in all regimes characterized by a modified CPT symmetry. In the domain of parameter space where the "would be Goldstone bosons" can be identified the gauge vector bosons become massive and the Goldstone bosons c…
We study the production of massive gauge bosons during inflation from the axion-type coupling to the inflaton and the corresponding oscillatory features in the primordial non-Gaussianity. In a window in which both the gauge boson mass and the chemical potential are large, the signal is potentially reachable by near-future large scale structure probes. This scenario covers a new region in oscillation frequency which is not populated by previously known cosmological collider models. We also demonstrate how to properly include the exponential factor and discuss the subtleties in obtaining power d…
Heavy fields of Hubble scale order present during inflation contribute to the non-Gaussian signature for the three-point function of the inflaton. Taking into account that Hubble scale is around the scale of grand unified theory (GUT), this opens a possibility that the GUT scale signatures, which are very hard to be discovered at collider, might be detectable by using information from the precise observations of cosmic microwave background. We discuss a detactability of the $X, Y$ gauge boson present in any GUT in a framework of cosmological collider physics. Calculating one-loop contributions…
